1
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The slopes of the lines represented by $6 x^2+2 \mathrm{hxy}+y^2=0$ are in the ratio $2: 3$, then $\mathrm{h}=$

A
$\pm \frac{7}{2}$
B
$\pm \frac{1}{2}$
C
$\pm \frac{5}{2}$
D
$\pm \frac{2}{5}$
2
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The straight line passing through $(-3,6)$ and midpoint of the line segment joining the points $(4,-5)$ and ( $-2,9$ ) have inclination

A
$\frac{\pi}{4}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{3}$
D
$\frac{3 \pi}{4}$
3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

A line passes through $\mathrm{P}(-4,1)$ and meets the co-ordinate axes at points A and B . If P divides the segment AB internally in the ratio $1: 2$, then the equation of the line is

A
$x-2 y+6=0$
B
$x+10 y-6=0$
C
$2 x+y+4=0$
D
$x-y+5=0$
4
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of the bisector of the angle between the lines $2 x^2+11 x y+3 y^2=0$ is

A
$11 x^2+2 x y-11 y^2=0$
B
$x^2+2 x y-y^2=0$
C
$3 x^2-11 x y+2 y^2=0$
D
$11 x^2-2 x y-11 y^2=0$
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